1Department of Mathematics, Gonemmont Ranbir College, Sangrur, Punjab-148001India
2Department of Mathematics, SLIET Longowal, Longowal, Punjab-148106, India
3Department of Mathematics, SLIET Longowal, Longowal, Punjab-148106, India
* E-mail: puner1jasai@yahoo.co.in
** E-mail: jrshira@yahooxo.in
For solving non-linear equations, two new one-parameter families of iteration methods are presented. The iteration process is based on one-point approximation using rational function. The families include the Euler, Chebyshev, Halley and super-Halley methods as special case. All the methods of the families are cubically convergent. Some numerical examples are presented to illustrate the efficiency and performance of the methods.
Non-linear equations, Iteration methods, Rational functions, Root finding, Order of convergence
